Logarithms
Expand
Condense
Solve
100
A logarithmic operation is the inverse of this operation.
What is exponential?
100
Expand log(5x)
What is log 5 + log x?
100
Condense log 7 + log b
What is log 7b?
100
Solve 2^x = 128
What is 7?
200
The power rule of logarithms allows us to do this with exponential expressions inside the logarithm.
What is move them out in front of the logarithm?
200
Expand ln(x^2 y^5).
What is 2lnx + 5lny
200
Condense 4log 2 + 3log 4
What is log 1024?
200
Solve log x = -3.
What is 1/1000?
300
Write the product rule for logarithms.
What is log m + log n = log mn?
300
Expand log(3xyz/4)
What is log 3 + log x + log y + log z - log 4?
300
Condense ln x + ln 3 + 2ln y -ln e
What is ln(3xy^2)-1?
300
Solve e^(2x + 7) = e^(3x -1)
What is 8?
400
The log of 1, regardless of the base, is this.
What is 0?
400
Expand ln(3x^2*z^3/5x).
What is ln 3 + 2lnx + 3lnz - (ln 5 + ln x)?
400
Condense 1/3logx - 2/3log y
What is log (cube root x/y to the two-thirds)?
400
Solve log 5x^2 = 2.
What is square root of 20?
500
The domain of a logarithmic function is this.
What is all real numbers except where I would be taking the log of 0 or a negative number?
500
Expand log(x^2*y^5*z^4)^1/2
What is 1/2(2log x + 5log y + 4log z)?
500
Condense 1/2(3log x + 3log y - 7log z).
What is look at answers.
500
Solve log x + log (x-4) = -4
What is no solution?
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